{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploring Beat Frequencies using the `Audio` Object"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example uses the `Audio` object and Matplotlib to explore the phenomenon of beat frequencies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ipywidgets import interactive\n",
    "from IPython.display import Audio, display\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def beat_freq(f1=220.0, f2=224.0):\n",
    "    max_time = 3\n",
    "    rate = 8000\n",
    "    times = np.linspace(0,max_time,rate*max_time)\n",
    "    signal = np.sin(2*np.pi*f1*times) + np.sin(2*np.pi*f2*times)\n",
    "    display(Audio(data=signal, rate=rate))\n",
    "    return signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c2f23b96eb1e47fe800a2f1d3b33887a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=220.0, description='f1', max=300.0, min=200.0), FloatSlider(value=224.…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "v = interactive(beat_freq, f1=(200.0,300.0), f2=(200.0,300.0))\n",
    "display(v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'f1': 220.0, 'f2': 224.0}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v.kwargs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f1, f2 = v.children[:2]\n",
    "f1.value = 255\n",
    "f2.value = 260\n",
    "plt.plot(v.result[0:6000]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "10ad8fed86cc489e9c3b22baba45887d": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "5765ff4655f34f0e8eddf662a505b0ea": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "67625476b3ae49419600330631180140": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "f1",
       "layout": "IPY_MODEL_10ad8fed86cc489e9c3b22baba45887d",
       "max": 300,
       "min": 200,
       "step": 0.1,
       "style": "IPY_MODEL_8a0315fced7f4a54872dc2049c876e91",
       "value": 255
      }
     },
     "68b614a8dd2b402080bed434f535c23a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "6dcf641f84eb468992a6c3b750bdd3d1": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "8a0315fced7f4a54872dc2049c876e91": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "95a3fd9cc69d463b818d8202592b76e2": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "c2f23b96eb1e47fe800a2f1d3b33887a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_67625476b3ae49419600330631180140",
        "IPY_MODEL_dfb546803c0243f08f2064438ec42861",
        "IPY_MODEL_f5307734931f49f38b200a0f7c8782bb"
       ],
       "layout": "IPY_MODEL_95a3fd9cc69d463b818d8202592b76e2"
      }
     },
     "dfb546803c0243f08f2064438ec42861": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "f2",
       "layout": "IPY_MODEL_5765ff4655f34f0e8eddf662a505b0ea",
       "max": 300,
       "min": 200,
       "step": 0.1,
       "style": "IPY_MODEL_68b614a8dd2b402080bed434f535c23a",
       "value": 260
      }
     },
     "f5307734931f49f38b200a0f7c8782bb": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_6dcf641f84eb468992a6c3b750bdd3d1",
       "outputs": [
        {
         "data": {
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\" 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          "text/plain": "<IPython.lib.display.Audio object>"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     }
    },
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
